Question

Find the diameter of a wheel whose circumference is 264 cm.

Answer 1

$$\begin{gathered} \mathrm{Let}\mathrm{the}\mathrm{radius}\mathrm{of}\mathrm{the}\mathrm{circle}\mathrm{be}r\mathrm{cm}. \\ \mathrm{Diameter}=2\times R\mathrm{adius}=2r\mathrm{cm} \\ \mathrm{Circumference}\mathrm{of}\mathrm{the}\mathrm{wheel}=264\mathrm{cm} \\ \mathrm{Circumference}\mathrm{of}\mathrm{the}\mathrm{wheel}=2\mathrm{\pi r} \\ \therefore 2\pi r=264 \\ \Rightarrow 2r=\frac{264}{\mathrm{\pi }} \\ \Rightarrow 2r=(264\times \frac{7}{22}) \\ \Rightarrow 2r=84 \\ \mathrm{Diameter}\mathrm{of}\mathrm{the}\mathrm{given}\mathrm{wheel}is84\mathrm{cm}. \end{gathered}$$